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Finding the Third Proportional to 155,378 and 340,285

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Solution

The third proportional to 155,378 and 340,285 is: 745,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,378 : 340,285 = 340,285 : x
  2. Step 2: Convert to fraction form
    155,378/340,285 = 340,285/x
  3. Step 3: Cross multiply
    155,378x = 340,285 × 340,285
  4. Step 4: Simplify right side
    155,378x = 115,793,881,225
  5. Step 5: Solve for x
    x = 115,793,881,225/155,378
  6. Step 6: Final answer
    x = 745,239.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.